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Control Theory Application to Complex Technical Objects Scheduling Problem Solving

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Cybernetics and Mathematics Applications in Intelligent Systems (CSOC 2017)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 574))

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Abstract

We present a new model for optimal scheduling of complex technical objects (CTO). CTO is a networked controlled system that is described through differential equations based on a dynamic interpretation of the job execution. The problem is represented as a special case of the job shop scheduling problem with dynamically distributed jobs. The approach is based on a natural dynamic decomposition of the problem and its solution with the help of a modified form of continuous maximum principle blended with combinatorial optimization.

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References

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Acknowledgments

The research described in this paper is partially supported by the Russian Foundation for Basic Research (grants 15-07-08391, 15-08-08459, 16-07-00779, 16-08-00510, 16-08-01277, 16-29-09482-ifi-i, 16-07-00925, 17-08-00797, 17-06-00108, 17-01-00139, 17-20-01214), grant 074-U01 (ITMO University), project 6.1.1 (Peter the Great St. Petersburg Politechnic University) supported by Government of Russian Federation, Program STC of Union State “Monitoring-SG” (project 1.4.1-1), state order of the Ministry of Education and Science of the Russian Federation 2.3135.2017/K, state research 0073-2014-0009, 0073-2015-0007.

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Authors and Affiliations

  1. St. Petersburg Institute for Informatics and Automation of the Russian Academy of Sciences, University ITMO, St. Petersburg, Russia

    Boris Sokolov

  2. St. Petersburg State University, St. Petersburg, Russia

    Inna Trofimova

  3. Berlin School of Economics and Law, Berlin, Germany

    Dmitry Ivanov

  4. St. Petersburg Institute for Informatics and Automation of the Russian Academy of Sciences, St. Petersburg, Russia

    Alekcey Krylov

Authors
  1. Boris Sokolov
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  2. Inna Trofimova
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  3. Dmitry Ivanov
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  4. Alekcey Krylov
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Corresponding author

Correspondence to Inna Trofimova .

Editor information

Editors and Affiliations

  1. Faculty of Applied Informatics, Tomas Bata University in Zlín Faculty of Applied Informatics, Zlín, Czech Republic

    Radek Silhavy

  2. Faculty of Applied Informatics, Tomas Bata University in Zlín, Zlín, Czech Republic

    Roman Senkerik

  3. Faculty of Applied Informatics, Tomas Bata University in Zlín, Zlín, Czech Republic

    Zuzana Kominkova Oplatkova

  4. Faculty of Applied Informatics, Tomas Bata University in Zlín, Zlín, Czech Republic

    Zdenka Prokopova

  5. Faculty of Applied Informatics, Tomas Bata University in Zlín, Zlín, Czech Republic

    Petr Silhavy

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Sokolov, B., Trofimova, I., Ivanov, D., Krylov, A. (2017). Control Theory Application to Complex Technical Objects Scheduling Problem Solving. In: Silhavy, R., Senkerik, R., Kominkova Oplatkova, Z., Prokopova, Z., Silhavy, P. (eds) Cybernetics and Mathematics Applications in Intelligent Systems. CSOC 2017. Advances in Intelligent Systems and Computing, vol 574. Springer, Cham. https://doi.org/10.1007/978-3-319-57264-2_17

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  • DOI: https://doi.org/10.1007/978-3-319-57264-2_17

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-57263-5

  • Online ISBN: 978-3-319-57264-2

  • eBook Packages: EngineeringEngineering (R0)

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